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468669728 = 25432892
BaseRepresentation
bin11011111011110…
…101010100100000
31012122212220000002
4123323311110200
51424434412403
6114301115132
714420425022
oct3373652440
91178786002
10468669728
1122060855a
12110b58aa8
1376135787
144635c012
152b22a188
hex1bef5520

468669728 has 54 divisors (see below), whose sum is σ = 955383849. Its totient is φ = 226313472.

The previous prime is 468669703. The next prime is 468669769. The reversal of 468669728 is 827966864.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 418939024 + 49730704 = 20468^2 + 7052^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=15308.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5265908 + ... + 5265996.

Almost surely, 2468669728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468669728

468669728 is an abundant number, since it is smaller than the sum of its proper divisors (486714121).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

468669728 is an frugal number, since it uses more digits than its factorization.

468669728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 134 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 56.

The square root of 468669728 is about 21648.7812128073. The cubic root of 468669728 is about 776.7637819539.

The spelling of 468669728 in words is "four hundred sixty-eight million, six hundred sixty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 32 43 86 89 172 178 344 356 688 712 1376 1424 1849 2848 3698 3827 7396 7654 7921 14792 15308 15842 29584 30616 31684 59168 61232 63368 122464 126736 164561 253472 329122 340603 658244 681206 1316488 1362412 2632976 2724824 5265952 5449648 10899296 14645929 29291858 58583716 117167432 234334864 468669728